To write Eqs.(REF )-(REF ) in terms of \(H,\; \rho \)  and \(P\) , it was found that one must distinguish the pre- and post- bounce phases [1]}. In particular, before the bounce,
the modified FR equations take the form [1]},
\(H^2 &=&\frac{8\pi G\alpha \rho _\Lambda }{3}\left(1-\frac{\rho }{\rho _c^{\scriptscriptstyle {\mathrm {I}}}}\right)\left[1+\left(\frac{1-2\gamma ^2+\sqrt{1-\rho /\rho _c^{\scriptscriptstyle {\mathrm {I}}}}}{4\gamma ^2\left(1+\sqrt{1-\rho /\rho _c^{\scriptscriptstyle {\mathrm {I}}}}\right)}\right)\frac{\rho }{\rho _c^{\scriptscriptstyle {\mathrm {I}}}}\right], \\\frac{\ddot{a}}{a} &=& - \frac{4\pi \alpha G}{3}\left(\rho + 3P - 2\rho _\Lambda \right) + 4\pi G\alpha P\left(\frac{2-3\gamma ^2 +2\sqrt{1-\rho /\rho ^{\scriptscriptstyle {\mathrm {I}}}_c}}{(1-5\gamma ^2)\left(1+\sqrt{1-\rho /\rho ^{\scriptscriptstyle {\mathrm {I}}}_c}\right)}\right)\frac{\rho }{\rho ^{\scriptscriptstyle {\mathrm {I}}}_c} \nonumber \\&& - \frac{4\pi \alpha G \rho }{3}\left[\frac{2\gamma ^2+5\gamma ^2\left(1+\sqrt{1-\rho /\rho ^{\scriptscriptstyle {\mathrm {I}}}_c}\right)-4\left(1+\sqrt{1- \rho /\rho ^{\scriptscriptstyle {\mathrm {I}}}_c}\right)^2}{(1-5\gamma ^2)\left(1+\sqrt{1-\rho /\rho ^{\scriptscriptstyle {\mathrm {I}}}_c}\right)^2}\right]\frac{\rho }{\rho ^{\scriptscriptstyle {\mathrm {I}}}_c},\) 
